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4020443011332 = 22331129116696941
BaseRepresentation
bin111010100000010101000…
…100111101100100000100
3112020100110120211021111000
4322200111010331210010
51011332331402330312
612314544354413300
7563316216511206
oct72402504754404
915210416737430
104020443011332
1113100732a3660
1254b232291230
132321841c4047
14dc83a3c4776
156e8aaa83adc
hex3a81513d904

4020443011332 has 96 divisors (see below), whose sum is σ = 11763051753600. Its totient is φ = 1176305155200.

The previous prime is 4020443011331. The next prime is 4020443011381. The reversal of 4020443011332 is 2331103440204.

4020443011332 is a `hidden beast` number, since 4 + 0 + 20 + 4 + 4 + 301 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4020443011296 and 4020443011305.

It is not an unprimeable number, because it can be changed into a prime (4020443011331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58314019 + ... + 58382922.

It is an arithmetic number, because the mean of its divisors is an integer number (122531789100).

Almost surely, 24020443011332 is an apocalyptic number.

It is an amenable number.

4020443011332 is an abundant number, since it is smaller than the sum of its proper divisors (7742608742268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4020443011332 is a wasteful number, since it uses less digits than its factorization.

4020443011332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116696994 (or 116696986 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4020443011332 its reverse (2331103440204), we get a palindrome (6351546451536).

The spelling of 4020443011332 in words is "four trillion, twenty billion, four hundred forty-three million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1566 1914 2871 3132 3828 5742 8613 11484 17226 34452 116696941 233393882 350090823 466787764 700181646 1050272469 1283666351 1400363292 2100544938 2567332702 3150817407 3384211289 3850999053 4201089876 5134665404 6301634814 6768422578 7701998106 10152633867 11552997159 12603269628 13536845156 15403996212 20305267734 23105994318 30457901601 34658991477 37226324179 40610535468 46211988636 60915803202 69317982954 74452648358 91373704803 111678972537 121831606404 138635965908 148905296716 182747409606 223357945074 335036917611 365494819212 446715890148 670073835222 1005110752833 1340147670444 2010221505666 4020443011332